Himanshu Gupta
Research Interests
Algebraic Graph Theory, Distance-regular graphs and Association Schemes
Current Courses
STAT 160 Introductory Statistics
Recent Publications
1) Barioli, Francesco, Shaun M. Fallat, Himanshu Gupta, and Zhongshan Li. 2026. “The Weak Version of the Graph Complement Conjecture and Partial Results for the Delta Conjecture.” Discrete Math. 349 (3): Paper No. 114861, 14. https://doi.org/10.1016/j.disc.2025.114861.
2) Fallat, Shaun, Himanshu Gupta, and Charles R. Johnson. 2025. “Sufficient Conditions for Total Positivity, Compounds, and Dodgson Condensation.” Linear Algebra Appl. 709: 189–202. https://doi.org/10.1016/j.laa.2025.01.016.
3) Fallat, Shaun, Himanshu Gupta, and Jephian C.-H. Lin. 2025. “Inverse Eigenvalue Problem for Laplacian Matrices of a Graph.” SIAM J. Matrix Anal. Appl. 46 (3): 1866–86. https://doi.org/10.1137/24M1714472.
4) Guillot, Dominique, Himanshu Gupta, Prateek Kumar Vishwakarma, and Chi Hoi Yip. 2025. “Entrywise Transforms and Positive Definite Matrices over Finite Fields.” Sém. Lothar. Combin. 93B: Art. 69, 12.
5) Guillot, Dominique, Himanshu Gupta, Prateek Kumar Vishwakarma, and Chi Hoi Yip. 2025. “Positivity Preservers over Finite Fields.” J. Algebra 684: 479–523. https://doi.org/10.1016/j.jalgebra.2025.07.016.
6) Himanshu Gupta and Vladislav On the eigenvalues of the graphs D(5; q). Finite Fields Appl., 94:Paper No. 102358, 21, 2024.
7) Cioabă, Sebastian M.; Gupta, Himanshu; Ihringer, Ferdinand; Kurihara, Hirotake. The least Euclidean distortion constant of a distance-regular graph. Discrete Appl. Math. 325 (2023), 212–225.